AMDM A Unit 1 Fundamental Counting Principle

Ten digit telephone number has a form (XYZ) - ABC-DEFG. In the particular state there are 4 possible area codes (404, 470, 678, and 607). The digit A is restricted to a number 2 through 8. The digits B and C can be any number but they cannot repeat. D,E,F, G have no restrictions. How many phone numbers are possible with these restrictions?  

• 28,800,000
• 25,200,000
• 16,533,720
• 28,000,000

The Social Security number contains nine digits, if the form of 000-00-0000. How many different Social Security numbers can be formed using any numerals from 0 to 9?

• 9,000,000,000
• 81
• 387,420,489
• 1,000,000,000

The Social Security number contains nine digits, if the form of 000-00-0000. How many different Social Security numbers can be formed using any numerals from 0 to 9?

• 9,000,000,000
• 81
• 387,420,489
• 1,000,000,000

How many area codes of the form (XYZ)are possible if the digits X and Y can be any number 1-9 and digit Z can be any number 2-9 ?

• 1000
• 729
• 512
• 648

Student ID number consists of 6 characters. The first four characters can be any number without restrictions. The last two characters are letters and cannot repeat. How many student IDs are possible? 

• 6,760,000
• 4,738,500
• 6,500,000

There are eight horses in the race. How many ways can they finish First, Second and Third?

• 512
• 448
• 336
• 24

At  a New Car Dealership a particular model comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

• 180
• 23
• 12
• 60

You are about to take 6 question test. Each question has 4 possible answer choices. How many ways can you answer the test if you answer each question?

• 4096
• 24
• 1296
• 10

How many different three digit alarm codes can be formed for the house alarm if the first digit must be 3, 5 or 7, and all other digits can be any number but numbers cannot repeat.

• 300
• 3000
• 270
• 22

A menu has 6 different sandwiches, with 3 choices of potato chips, 3 types of salad and 5 different beverages. How many different lunch combinations consisting of a sandwich, chips and beverage can be ordered?

• 30
• 17
• 90
• 270